16 citations · 77 across the 36 of their papers we have counts for
5 papers · 1 filter
Infinitary combinatorics in condensed math and strong homology
Jeffrey Bergfalk, Chris Lambie-Hanson
Recent advances in our understanding of higher derived limits carry multiple implications in the fields of condensed and pyknotic mathematics, as well as for the study of strong ho…
Kurepa trees, continuous images, and perfect set properties
Chris Lambie-Hanson, Šárka Stejskalová
Building upon work of Lücke and Schlicht, we study (higher) Kurepa trees through the lens of higher descriptive set theory, focusing in particular on various perfect set properties…
Simultaneously nonvanishing higher derived limits
Matteo Casarosa, Chris Lambie-Hanson
The derived functors of the inverse limit find many applications in algebra and topology. In particular, the vanishing of certain derived limits , pa…
Two-cardinal derived topologies, indescribability and Ramseyness
Brent Cody, Chris Lambie-Hanson, Jing Zhang
We introduce a natural two-cardinal version of Bagaria's sequence of derived topologies on ordinals. We prove that for our sequence of two-cardinal derived topologies, limit points…
Squares, ultrafilters and forcing axioms
Chris Lambie-Hanson, Assaf Rinot, Jing Zhang
We study relationships between various set theoretic compactness principles, focusing on the interplay between the three families of combinatorial objects or principles mentioned i…